Spin polarization of the $ν=5/2$ quantum Hall state

dc.creatorFeiguin, A. E.
dc.creatorRezayi, E.
dc.creatorYang, Kun
dc.creatorNayak, C.
dc.creatorSarma, S. Das
dc.date2008-04-28
dc.date2009-03-31
dc.date.accessioned2026-07-07T12:57:56Z
dc.date.available2026-07-07T12:57:56Z
dc.descriptionWe report on results of numerical studies of the spin polarization of the half filled second Landau level, which corresponds to the fractional quantum Hall state at filling factor $ν=5/2$. Our studies are performed using both exact diagonalization and Density Matrix Renormalization Group (DMRG) on the sphere. We find that for the Coulomb interaction the exact finite-system ground state is fully polarized, for shifts corresponding to both the Moore-Read Pfaffian state and its particle-hole conjugate (anti-Pfaffian). This result is found to be robust against small variations of the interaction. The low-energy excitation spectrum is consistent with spin-wave excitations of a fully-magnetized ferromagnet.
dc.descriptionFinal version published on PRB
dc.identifierhttps://arxiv.org/abs/0804.4502
dc.identifierhttp://arxiv.org/abs/0804.4502
dc.identifierPhys. Rev. B 79, 115322 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.115322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225079
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleSpin polarization of the $ν=5/2$ quantum Hall state
dc.typetext

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